This answer only provides some references that might be worth exploring in searching for the desired tools relevant to SOPHERE's conference call for abstracts. (The deadline for submissions was last July so I assume this question is to help the OP better explore this field.)
In Mark Wynn's overview of the phenomenology of religion, the bibliography cites one of the authors noted in the call for abstracts, Matthew Ratcliffe. Wynn notes Ratcliffe's concept of "existential feelings":
There are various ways of understanding the significance of this sort of shift in the world's appearance. One potentially helpful category is Matthew Ratcliffe's notion of “existential feelings.” Ratcliffe introduces the category in these terms:
First of all, they [existential feelings] are not directed at specific objects or situations but are background orientations through which experience as a whole is structured. Second, they are bodily feelings. (2008, [Feelings of Being: Phenomenology, Psychiatry and the Sense of Reality, Oxford: Oxford University Press] p. 38, Ratcliffe's emphasis)
As an analogy (or perhaps more than an analogy) we could take the case of jet lag. When I am in a jet lagged state, the world in general can appear differently to me, and this is in part, no doubt, because of the associated change in my bodily condition. I may feel groggy (here is the bodily feeling to which Ratcliffe refers), and at the same time the world in general may take on a new appearance, so that it seems, for instance, out of focus. And we might speculate that, similarly, the convert has undergone a change in bodily condition, and that it is this change that accounts both for their feelings of elation, and also for the shift that they report in the world's appearance. It may be that, in some cases, whether by design or not, this bodily change is the product of a spiritual discipline. So here is another way in which feelings, including feelings of bodily condition, may be caught up into the phenomenology of the religious or spiritual life.
The other mentioned researchers are Anthony Steinbock, Jean-Luc Marion, Espen Dahl, Dan Zahavi, Stanley Cavell, and Evan Thompson.
The Society for the Phenomenology of Religious Experience (SOPHERE) has two conference proceedings available: Open Theology 2017 and Open Theology 2018. The articles appear to be open access and available for download.
One paper that might be useful is the last one from Open Theology 2018: James M. Nelson and Jonah Koetke, "Why We Need the Demonic: A Phenomenological Analysis of Negative Religious Experience". The reason this might be fruitful is one may complement any phenomenological tools provided in this paper with M. Scott Peck's psychotherapeutic study of evil as presented in his book People of the Lie.
Wynn, Mark, "Phenomenology of Religion", The Stanford Encyclopedia of Philosophy (Winter 2016 Edition), Edward N. Zalta (ed.), URL = https://plato.stanford.edu/archives/win2016/entries/phenomenology-religion/.